A074694 Decimal expansion of the solution x of phi^x = lim_{n -> infinity} (1/n)*Sum_{k=1..n} (Fibonacci(k+1)/Fibonacci(k))^x where phi is the golden ratio = (1 + sqrt(5))/2.

3, 0, 3, 7, 0, 0, 6, 6, 3, 0, 9, 4, 4, 3, 9, 8, 0, 1, 4, 7, 4, 5, 2, 0, 2, 2, 3, 5, 4, 7, 7, 7, 8, 1, 9, 8, 5, 7, 7, 7, 6, 5, 4, 6, 3, 2, 3, 3, 3, 8, 4, 3, 3, 6, 5, 9, 8, 5, 8, 1, 0, 4, 3, 1, 3, 9, 2, 6, 5, 3, 3, 5, 3, 3, 8, 0, 0, 8, 6, 6, 3, 7, 4, 5, 2, 6, 6

Offset

1,1

Links

Table of n, a(n) for n=1..87.

Formula

3.037006630944398014....

Crossrefs

Sequence in context: A055949 A165012 A198126 * A127803 A021771 A154853

Adjacent sequences: A074691 A074692 A074693 * A074695 A074696 A074697

Keyword

cons,nonn

Author

Benoit Cloitre, Sep 03 2002

Extensions

a(50)-a(60) corrected by, and more digits from, Jon E. Schoenfield, Mar 11 2018

Status

approved